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38168340 = 22357194783
BaseRepresentation
bin1001000110011…
…0011100010100
32122211011010020
42101212130110
534232341330
63442025140
7642265650
oct221463424
978734106
1038168340
111a5aa491
12109481b0
137ba4c22
1450d7a60
15353e210
hex2466714

38168340 has 96 divisors (see below), whose sum is σ = 128593920. Its totient is φ = 8263296.

The previous prime is 38168329. The next prime is 38168353. The reversal of 38168340 is 4386183.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5589 + ... + 10371.

It is an arithmetic number, because the mean of its divisors is an integer number (1339520).

Almost surely, 238168340 is an apocalyptic number.

38168340 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38168340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64296960).

38168340 is an abundant number, since it is smaller than the sum of its proper divisors (90425580).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

38168340 is a wasteful number, since it uses less digits than its factorization.

38168340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4821 (or 4819 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 38168340 is about 6178.0530913873. The cubic root of 38168340 is about 336.6932610869.

The spelling of 38168340 in words is "thirty-eight million, one hundred sixty-eight thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 19 20 21 28 30 35 38 42 57 60 70 76 84 95 105 114 133 140 190 210 228 266 285 380 399 420 532 570 665 798 1140 1330 1596 1995 2660 3990 4783 7980 9566 14349 19132 23915 28698 33481 47830 57396 66962 71745 90877 95660 100443 133924 143490 167405 181754 200886 272631 286980 334810 363508 401772 454385 502215 545262 636139 669620 908770 1004430 1090524 1272278 1363155 1817540 1908417 2008860 2544556 2726310 3180695 3816834 5452620 6361390 7633668 9542085 12722780 19084170 38168340